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If log10(x) = -1, what is the value of x?

Practice Questions

Q1
If log10(x) = -1, what is the value of x?
  1. 0.1
  2. 1
  3. 10
  4. 100

Questions & Step-by-Step Solutions

If log10(x) = -1, what is the value of x?
Correct Answer: 0.1
  • Step 1: Understand that log10(x) means 'the power to which 10 must be raised to get x'.
  • Step 2: The equation log10(x) = -1 means that 10 must be raised to the power of -1 to get x.
  • Step 3: Rewrite the equation in exponential form: x = 10^(-1).
  • Step 4: Calculate 10^(-1), which is the same as 1 divided by 10.
  • Step 5: Therefore, x = 1/10 = 0.1.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert from logarithmic form to exponential form.
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